The phrase "respected source" means that the person, organization, or publication is well-regarded for providing accurate and reliable information. Full definition
It is the most respected source of organic information for journalists. (austorganic.com)
They did a beautiful job respecting the source material too. (metacritic.com)
Positive comments from respected sources such as Chambers and Partners can also be used as reviews which will drive traffic to your site and persuade prospects to pick up the phone. (lawseo.uk)